(a) A helium lamp is used for an experiment to study the photoelectric effect. The visible part of the spectrum emitted from the lamp is split into its components using a glass prism, which reveals a yellow spectral line at 587nm and a blue spectral line at 447nm.

(i) Explain briefly the origin of the distinct lines of different colour.

(ii) Has blue or yellow light higher energy (per photon)? Justify your answer.

(iii) The refractive index of the glass prism is larger for blue light than for yellow. Will the direction of blue or yellow light change by a larger angle compared to the incident light? Justify your answer.

(iv) Has blue or yellow light higher velocity within the glass prism? Justify your answer.

(b) The yellow light and blue light from part (a) hit a piece of potassium with work function 2.29 eV.

(i) Calculate the energy of the emitted photoelectrons.

(ii) Electrons are fermions. State the difference between fermions and bosons in terms of their spin quantum number.

(iii) Briefly explain the meaning of the Pauli exclusion principle.

(iv) A helium ion with total charge −e has 3 electrons. Show that there are four different combinations of spin magnetic quantum number that these electrons can have. Justify your answer on the basis of the aufbau principle.

Show that the affine connection is not a true tensor (general relativity/cosmology)

A square membrane has all four sides (length a) tightly clamped. Some of its vibrational modes are also dampened by a clamp placed at the center of the membrane. Find the first four distinct vibrational frequencies of this "square drum."

1 The equation of a transverse wave on a string is ? = (2.0 ?) sin(20? − 600?). What is the wave speed of the wave and the linear density of the string if it has a tension of 15 ??

2 A block is in simple harmonic motion on the end of a spring with its position given by ?(?) = ? cos(?? + ?). If ? = ?/5 ???, then at ? = 0 ? what percentage of the total mechanical energy is potential energy?

The speed of the two planes is 52.7 m/s, with the first plane travelling at this velocity in the y-direction and the second plane travelling with this speed in the x-direction. The initial separation of the planes is 30.5 m. Find the time at which the separation of the planes is at its minimum.

A person is driving his car on some road and suddenly a police car stops him for speeding, the police-detected radar gun emits a wave whose frequency is 8.0 × 109 ??.

1. How do you think the mechanism by which you know how fast a moving car can go works?

2. Does it depend on the speed of the police car? Does it depend on the speed of the person's car?

3. Does it depend on the two speeds?

4. What role does frequency play?

5. What function does the wave velocity fulfill?

Two low-friction physics demo carts collide on a horizontal track. The first cart, with a mass of 0.154 kg , is moving to the right with a speed of 0.810 m/s . The second cart, with a mass of 0.299 kg , is moving to the left with a speed of 2.21 m/s . The carts collide in an elastic collision, such that the total kinetic energy after the collsion is equal to the total kinetic energy before the collision.

1. What is the final speed of the 0.154 kg cart?

2. What is the direction of the final velocity of the 0.154 kg cart?

3. What is the final speed of the 0.299 kg cart?

4. What is the direction of the final velocity of the 0.299 kg cart?

A.) A scuba diver, submerged under water, looks up and sees sunlight at an angle of 11.0° from the vertical. At what angle, measured from the vertical, does this sunlight strike the surface of the water? Assume water has a refraction index of 1.333.

B.) To focus a camera on objects at different distances, the converging lens is moved toward or away from the image sensor, so a sharp image always falls on the sensor. A camera with a telephoto lens (f = 400 mm) is to be focused on an object located first at a distance of 3.5 m and then at 50.0 m. Over what distance must the lens be movable?

C.) A layer of oil (n = 1.45) floats on an unknown liquid. A ray of light originates in the oil and passes into the unknown liquid. The angle of incidence is 55.0 degrees, and the angle of refraction is 59.1 degrees. What is the index of refraction of the unknown liquid?

D.) A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 25.60°. The indices of refraction for the blue and red components of the ray are: blue (n_diamond = 2.444, n_{crown glass} = 1.531), and red (n_diamond = 2.410, n_{crown glass} = 1.520). Determine the angle between the refracted blue and red rays in the crown glass.

Question 1.

Part A. A proton spit out from the Sun hurtles heads toward Earth -- directly at you! In what direction does the earth's magnetic field nudge it?

North, East, South, or West? Choose One.

Part B: At home during a break from classes, you visit your grandparents who still have a tube-type television, with the deep and heavy case. (In them, a beam of electrons fired from the center rear of the picture tube is steered to 'paint' an image on the front of the tube.)  Their living room is arranged so that the TV is on the north wall of the house, facing south. In which direction, if ever so slightly, does the weak magnetic field of the earth deflect the electron beam inside the tube?

Up, Down, Left, Right or The beam is not affected at all? Choose one.

Part C: Later, you go to the guest room to get ready for bed. Your grandparents have another old tube type television in that room, this time on the west wall, facing east. Now which way are the electrons in the tube deflected, if ever so slightly?

Up, Down, Left, Righ, or Not At All? Choose one.

Part D: A velocity selector, as in the previous question, works to select ions of a particular speed because

-the electric and magnetic fields both depend on the speed of the ions.

-neither the electric nor the magnetic fields depend on the speed of the ions.

-the magnetic force on an ion depends on its speed, but the electric force does not.

-the electric force on an ion depends on its speed, but the magnetic force does not.

Choose one.

An eagle is flying horizontally at 5.7 m/s with a fish in its claws. It accidentally drops the fish.

(a) How much time passes before the fish's speed quadruples?


(b) How much additional time would be required for the fish's speed to quadruple again?

A Spinning Ball: What is the magnetic field inside and outside a uniformly charged solid ball (total charge ?, radius ?) spinning about its axis with angular velocity ? ̂?? Do this three ways:

(a) Set up a Biot-Savart-style integral to determine the field at any location. (Do not solve this integral, but make all quantities explicit.)

(b) Simplify your integral using a location along the axis of rotation: ? = ? ̂? or ? = 0. Solve for ? inside and outside.

(c) Use your result to determine where along the ? axis the magnetic field is the strongest.

A neutron hits U 235 which then splits into a Cs 140 atom (139.91728u), a Rb 93 atom (92.92204u), and several neutrons. How many grams of U 235 do we need to start with to produce 1.3 x 10^9 J?

how does the x-ray circuit influence the production of x rays

Describe the components of Hyper-V and the process for installing it.

2. Critique the following carbon mitigation wedge plan from the perspective of developing nations. Is this friendly to the growth of these nations? Make sure you completely dissect the plan with respect to cost, energy needs, and threat of famine. Your critique should be 100-words or less.